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Local-in-time existence for the non-resistive incompressible magneto-micropolar fluids

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Abstract

We establish the local-in-time existence of a solution to the non-resistive magneto-micropolar fluids with the initial data u0 ∈ Hs−1+ε, w0 ∈ Hs−1 and b0 ∈ Hs for \(s > {3 \over 2}\) and any 0 < ε < 1. The initial regularity of the micro-rotational velocity w is weaker than velocity of the fluid u.

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Acknowledgments

The authors are indebted to anonymous referees for their helpful comments.

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Authors and Affiliations

  1. School of Mathematical Sciences, Huaqiao University, Quanzhou, 362021, China

    Peixin Zhang

  2. School of Mathematical Sciences, Qufu Normal University, Qufu, 273100, China

    Mingxuan Zhu

Authors
  1. Peixin Zhang
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  2. Mingxuan Zhu
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Corresponding author

Correspondence to Mingxuan Zhu.

Additional information

Zhang was partially supported by the National Natural Science Foundation of China (Grant No. 11701192), the Scientific Research Funds of Huaqiao University (Grant No. 15BS201). Zhu was partially supported by the National Natural Science Foundation of China (Grant No. 11771183).

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Zhang, P., Zhu, M. Local-in-time existence for the non-resistive incompressible magneto-micropolar fluids. Appl Math 67, 199–208 (2022). https://doi.org/10.21136/AM.2021.0111-20

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  • DOI: https://doi.org/10.21136/AM.2021.0111-20

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